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Finding the Third Proportional to 44,034 and 92,442

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Solution

The third proportional to 44,034 and 92,442 is: 194,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,034 : 92,442 = 92,442 : x
  2. Step 2: Convert to fraction form
    44,034/92,442 = 92,442/x
  3. Step 3: Cross multiply
    44,034x = 92,442 × 92,442
  4. Step 4: Simplify right side
    44,034x = 8,545,523,364
  5. Step 5: Solve for x
    x = 8,545,523,364/44,034
  6. Step 6: Final answer
    x = 194,066.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.